"""Programmatic construction for Book I, I.39 (I.39).
Equal triangles which are on the same base and on the same side are also in the same parallels.
"""
from __future__ import annotations
from geometor.model import Model
def construct_g1() -> Model:
"""Construct the figure for 0350.g2 (I.39) using geometor.model."""
model = Model("I.39")
# 1. Points
A = model.set_point(54, -35, classes=["given"], ID="A")
B = model.set_point(34, -110, classes=["given"], ID="B")
C = model.set_point(178, -110, classes=["given"], ID="C")
D = model.set_point(144, -35, classes=["given"], ID="D")
E = model.set_point(125, -45, ID="E")
# 3. Segments
model.set_segment(B, C)
model.set_segment(A, B)
model.set_segment(A, C)
model.set_segment(A, D)
model.set_segment(B, D)
model.set_segment(B, E)
model.set_segment(E, D)
model.set_segment(C, D)
model.set_segment(A, E)
model.set_segment(E, C)
# 4. Collinear Sections
model.set_section([B, E, D])
# 5. Polygons (Triangles, Parallelograms, Trapezia, Squares)
model.set_polygon([A, B, C])
model.set_polygon([D, B, C])
model.set_polygon([E, B, C])
return model
if __name__ == "__main__":
construct_g1()
